10231144113201 has 16 divisors (see below), whose sum is σ = 15394824999360. Its totient is φ = 5986876387520.

The previous prime is 10231144113173. The next prime is 10231144113283.

10231144113201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10231144113201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10231144113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5345424390 + ... + 5345426303.

It is an arithmetic number, because the mean of its divisors is an integer number (962176562460).

Almost surely, 2^{10231144113201} is an apocalyptic number.

10231144113201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10231144113201 is a deficient number, since it is larger than the sum of its proper divisors (5163680886159).

10231144113201 is a wasteful number, since it uses less digits than its factorization.

10231144113201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690850736.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1023114 and 4113201, that added together give a palindrome (5136315).

The spelling of 10231144113201 in words is "ten trillion, two hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, two hundred one".